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1357617
Trigonometry.
Description
Mind Map on Trigonometry., created by Ella Kimmings on 26/09/2014.
Mind Map by
Ella Kimmings
, updated more than 1 year ago
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Created by
Ella Kimmings
almost 10 years ago
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Resource summary
Trigonometry.
General recap identities
Sinx/cosx = tanx
sin^2x + cos^2x = 1
1+ cot^2x = cosec^2x
tan^2x+ 1 = sec^2x
Graphs
sinx
Period of 360 degrees. Max: 1 Min: -1. Hidden value= 180-ANS then add 360.
cosx
Period of 360 degrees Max: 1 Min: -1. Hidden value= -ANS then add 360.
tanx
Period of 180 degrees. No max or min. Hidden values +/- 180.
cosecx= 1/sinx
secx= 1/cosx
cotx= 1/tanx
= cosx/sinx
Compound Angle Formula
Sin(A+/-B) = sinAcosB +/- cosAsinB
Cos(A+/-B) = cosAcosB -/+ sinAsinB
Tan(A+/-B) = tanA +/- tanB / 1 -/+ tanAtanB
Double Angle Formula
Sin2A = sin(A+A) = 2sinAcosA
Cos2A = cos(A+A) = 1-2sin^2A or 2cos^2A-1
Tan2A = tan(A+A) = 2tanA / 1-tan^2A
asinx+bcosx
Rcos(A+B)= R(cosAcosB-sinAsinB)
Rcos(A-B)= R(cosAcosB+sinAsinB)
Rsin(A-B)= sinAcosB-cosAsinB
Rsin(A+B)= sinAcosB+cosAsinB
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